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Finding the Fourth Proportional to 288,247.40, 431,204.70 and 253,255.40

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Solution

The fourth proportional to 288,247.40, 431,204.70 and 253,255.40 is: 378,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,247.40 : 431,204.70 = 253,255.40 : x
  2. Step 2: Convert to fraction form
    288,247.40/431,204.70 = 253,255.40/x
  3. Step 3: Cross multiply
    288,247.40x = 431,204.70 × 253,255.40
  4. Step 4: Simplify right side
    288,247.40x = 109,204,918,780.38
  5. Step 5: Solve for x
    x = 109,204,918,780.38/288,247.40
  6. Step 6: Final answer
    x = 378,858.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.